Global well-posedness below energy space for the 1D Zakharov system

dc.creatorPecher, Hartmut
dc.date2000-05-03
dc.date2000-12-27
dc.date.accessioned2026-07-25T22:45:04Z
dc.descriptionThe Cauchy problem for the 1-dimensional Zakharov system is shown to be globally well-posed for large data which not necessarily have finite energy. The proof combines the local well-posedness result of Ginibre, Tsutsumi, Velo and a general method introduced by Bourgain to prove a similar result for nonlinear Schrödinger equations.
dc.identifierhttps://arxiv.org/abs/math/0005030
dc.identifierhttp://arxiv.org/abs/math/0005030
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92127
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleGlobal well-posedness below energy space for the 1D Zakharov system
dc.typetext

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